3切比雪夫多项式零点 T=cos0=x n阶Chebyshev多项式：Tm=cos(nd) T,(x)=cos(n arccosx) 取 narccosx (2k+1)π (k=0,1,…,n-1) 2 即 co() k=0,1,…,n-1) 99 3.切比雪夫多项式零点 n阶Chebyshev多项式: Tn =cos(n), 或 Tn ( x ) = cos(n arccos x ) 2 (2 1) arccos    k 取 n x (k=0,1,···,n-1 ) T1=cos=x ) 2 (2 1) cos( n k xk   即  (k=0,1,···,n-1 )